FRACTIONAL OPTIMAL CONTROL OF THE TIME FRACTIONAL DIFFUSION SYSTEM
Journal: Scholarly Research Journal for Interdisciplinary Studies (Vol.12, No. 79)Publication Date: 2023-11-01
Authors : Ramdas B. Sonawane; S. G. Latpate;
Page : 142-150
Keywords : NA;
- FRACTIONAL OPTIMAL CONTROL OF THE TIME FRACTIONAL DIFFUSION SYSTEM
- Nonhomogeneous Generalized Multi-Term Fractional Heat Propagation and Fractional Diffusion-Convection Equation in Three-Dimensional Space
- FRACTIONAL REGULATOR WITH "SHORT MEMORY" IN RELAY SYSTEMS OF OPTIMAL CONTROL
- A spectral method based on the second kind Chebyshev polynomials for solving a class of fractional optimal control problems
- A Comparative Study of Optimum Solution between Fractional Transportation and Fractional Transhipment Problem
Abstract
In this article, we study a problem of fractional distributed optimal control for the time fractional diffusion system evolving in a spatial domain Ω⊂Rn using distributed bounded controls. We minimize a functional constituted of the deviation between the desired derivative and fractional spatial derivative of order α∈(0, 1) and the energy term. We prove the existence of an optimal control solution of the minimization problem. Then, we characterize the control as the solution to an optimality system.
Other Latest Articles
- A STUDY OF LIFE SKILLS OF ADOLESCENTS WITH RESPECT TO GENDER, TYPE OF SCHOOL AND RESIDENTIAL BACKGROUND
- AUTOMATION OF PERSONAL INSOLVENCY: SCULPTING PAYMENTS BANKS AND ADJUDICATING AUTHORITIES FOR FRESH START PROCESS
- A STUDY OF TEACHER MOTIVATION ON TEACHER SELF-EFFICACY AMONG TEACHER EDUCATORS
- HOW DOES ARMED CONFLICT BREACHES HUMAN RIGHTS?
- ADJUSTMENT AMONG PROSPECTIVE TEACHERS WITH RESPECT TO THEIR GENDER AND STREAM
Last modified: 2024-08-13 18:30:39